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Finding the Fourth Proportional to 937.73, 1,294.59 and 564.80

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Solution

The fourth proportional to 937.73, 1,294.59 and 564.80 is: 779.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.73 : 1,294.59 = 564.80 : x
  2. Step 2: Convert to fraction form
    937.73/1,294.59 = 564.80/x
  3. Step 3: Cross multiply
    937.73x = 1,294.59 × 564.80
  4. Step 4: Simplify right side
    937.73x = 731,177.96
  5. Step 5: Solve for x
    x = 731,177.96/937.73
  6. Step 6: Final answer
    x = 779.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.